>
Exams
>
Mathematics
>
integral
>
the area in sq units enclosed by y 1 2x y 2 and x
Question:
The area (in sq. units) enclosed by y = 1, 2x + y = 2 and x + y = 2 is
WBJEE
Updated On:
Oct 22, 2024
(A)
1
2
(B)
1
4
(C) 1
(D) 2
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
Explanation:
The vertices ofa triangle are
(
0
,
2
)
,
(
1
2
,
1
)
,
(
1
,
1
)
\thereforeArea of triangle
=
1
2
|
0
2
1
2
1
|
=
1
2
[
−
2
(
1
2
−
1
)
+
1
(
1
2
−
1
)
]
=
1
4
s
q
unit
Download Solution in PDF
Was this answer helpful?
0
2
Top Questions on integral
Evaluate the integral:
$$ \int_0^{\pi/4} \frac{\ln(1 + \tan x)}{\cos x \sin x} \, dx $$
BITSAT - 2025
Mathematics
integral
View Solution
Find the value of the integral: \[ \int_0^\pi \sin^2(x) \, dx. \]
BITSAT - 2025
Mathematics
integral
View Solution
Evaluate the integral
\( \int_0^1 \frac{\ln(1 + x)}{1 + x^2} \, dx \)
BITSAT - 2025
Mathematics
integral
View Solution
Evaluate the integral:
$$ \int_0^1 \frac{\ln (1+x)}{1+x^2} \, dx $$
AP EAPCET - 2025
Mathematics
integral
View Solution
Evaluate $ \int_{0}^{1} (3x^2 + 2x) \, dx $.
AP EAPCET - 2025
Mathematics
integral
View Solution
View More Questions
Questions Asked in WBJEE exam
Which logic gate is represented by the following combination of logic gates?
WBJEE - 2025
Logic gates
View Solution
If \( {}^9P_3 + 5 \cdot {}^9P_4 = {}^{10}P_r \), then the value of \( 'r' \) is:
WBJEE - 2025
permutations and combinations
View Solution
If \( 0 \leq a, b \leq 3 \) and the equation \( x^2 + 4 + 3\cos(ax + b) = 2x \) has real solutions, then the value of \( (a + b) \) is:
WBJEE - 2025
Trigonometric Equations
View Solution
Let \( f(\theta) = \begin{vmatrix} 1 & \cos \theta & -1 \\ -\sin \theta & 1 & -\cos \theta \\ -1 & \sin \theta & 1 \end{vmatrix} \). Suppose \( A \) and \( B \) are respectively the maximum and minimum values of \( f(\theta) \). Then \( (A, B) \) is equal to:
WBJEE - 2025
Matrix
View Solution
If \( a, b, c \) are in A.P. and if the equations \( (b - c)x^2 + (c - a)x + (a - b) = 0 \) and \( 2(c + a)x^2 + (b + c)x = 0 \) have a common root, then
WBJEE - 2025
Quadratic Equations
View Solution
View More Questions